On solutions of the Volterra equation in the space of bounded variation functions
Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 2, pp. 303-310
Jesus Matute; Jesus Matute. On solutions of the Volterra equation in the space of bounded variation functions. Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 2, pp. 303-310. http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
@article{AMUC_2014_83_2_a11,
     author = {Jesus Matute and Jesus Matute},
     title = { On solutions of the {Volterra} equation in the space of bounded variation functions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {303--310},
     year = {2014},
     volume = {83},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/}
}
TY  - JOUR
AU  - Jesus Matute
AU  - Jesus Matute
TI  - On solutions of the Volterra equation in the space of bounded variation functions
JO  - Acta mathematica Universitatis Comenianae
PY  - 2014
SP  - 303
EP  - 310
VL  - 83
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
ID  - AMUC_2014_83_2_a11
ER  - 
%0 Journal Article
%A Jesus Matute
%A Jesus Matute
%T On solutions of the Volterra equation in the space of bounded variation functions
%J Acta mathematica Universitatis Comenianae
%D 2014
%P 303-310
%V 83
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
%F AMUC_2014_83_2_a11

Voir la notice de l'article provenant de la source Comenius University

In this paper we use a Leray-Schauder alternative in order toprove the existence and uniqueness of solutions for the Volterra equation, with a initial condition, in the Banach space of the bounded variation functions.